A model of oxygen uptake kinetics in response to exercise: Including a means of calculating oxygen demand/deficit/debt |
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Authors: | Email author" target="_blank">J?R?StirlingEmail author M?S?Zakynthinaki B?Saltin |
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Institution: | (1) Departament de Matematiques, Edifici Cc, Universitat Autonoma de Barcelona, 08193-Cerdanyola del Valles Barcelona, Spain;(2) Departament de Matematica Aplicada I, Universitat Politecnica de Catalunya, Diagonal 647, E-08028 Barcelona, Spain;(3) The Copenhagen Muscle Research Centre, Rigshospitalet, Copenhagen, Denmark |
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Abstract: | We present a new model of the underlying dynamics of the oxygen uptake
kinetics for various exercise intensities. This model is in the form of a set of nonlinear coupled vector fields for the
and
, the derivative of the exercise intensity with respect to time. We also present a new and novel means for calculating the
oxygen demand, D(v, t), and hence also the oxygen deficit and debt, given the time series of the
. This enables us to give better predictions for these values especially for when exercising at or close to maximal exercise
intensities. Our model also allows us to predict the oxygen uptake time series given the time series for the exercise intensity
as well as to investigate the oxygen uptake response to nonlinear exercise intensities. Neither of these features is possible
using the currently used three-phase model. We also present a review of both the underlying physiology and the three-phase
model. This includes for the first time a complete set of the analytical solutions of the three-phase model for the oxygen
deficit and debt. |
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Keywords: | |
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